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Finding the Third Proportional to 529,107 and 798,430.50

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Solution

The third proportional to 529,107 and 798,430.50 is: 1,204,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,107 : 798,430.50 = 798,430.50 : x
  2. Step 2: Convert to fraction form
    529,107/798,430.50 = 798,430.50/x
  3. Step 3: Cross multiply
    529,107x = 798,430.50 × 798,430.50
  4. Step 4: Simplify right side
    529,107x = 637,491,263,330.25
  5. Step 5: Solve for x
    x = 637,491,263,330.25/529,107
  6. Step 6: Final answer
    x = 1,204,843.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.